- Source: Ring spectrum
- IEEE 802.11
- Sinematografi
- Konstruksi plus
- Leotis Martin
- Bunsaku Arakatsu
- Evolusi
- Dead Men Tell
- Kebebasan beragama di Indonesia
- Bilangan oksidasi
- Street Fighter (permainan video)
- Ring spectrum
- Spectrum of a ring
- Commutative ring spectrum
- Spectrum (topology)
- Highly structured ring spectrum
- Ring (mathematics)
- Homotopy theory
- Complex cobordism
- Module spectrum
- List of cohomology theories
In stable homotopy theory, a ring spectrum is a spectrum E together with a multiplication map
μ: E ∧ E → E
and a unit map
η: S → E,
where S is the sphere spectrum. These maps have to satisfy associativity and unitality conditions up to homotopy, much in the same way as the multiplication of a ring is associative and unital. That is,
μ (id ∧ μ) ~ μ (μ ∧ id)
and
μ (id ∧ η) ~ id ~ μ(η ∧ id).
Examples of ring spectra include singular homology with coefficients in a ring, complex cobordism, K-theory, and Morava K-theory.
See also
Highly structured ring spectrum
References
Adams, J. Frank (1974), Stable homotopy and generalised homology, Chicago Lectures in Mathematics, University of Chicago Press, ISBN 0-226-00523-2, MR 0402720